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Mathematics
Mathematics
Problem
Let
A
=
{
1
,
2
,
3
,
4
}
A=\{1,2,3,4\}
A
=
{
1
,
2
,
3
,
4
}
and let
f
:
A
→
A
f:A\to A
f
:
A
→
A
be defined by
f
(
1
)
=
4
,
f
(
2
)
=
3
,
f
(
3
)
=
2
,
f
(
4
)
=
1
f(1)=4,\ f(2)=3,\ f(3)=2,\ f(4)=1
f
(
1
)
=
4
,
f
(
2
)
=
3
,
f
(
3
)
=
2
,
f
(
4
)
=
1
. Define
I
A
I_A
I
A
as the identity on
A
A
A
. Write the mapping of the composite function
I
A
∘
f
I_A\circ f
I
A
∘
f
.
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